Asymptotic analysis of stochastic block replacement policies for multicomponent systems in a Markov environment

Authors:
Vladimir V. Anisimov
Affiliations:
Research Statistics Unit, GlaxoSmithKline, New Frontiers Science Park (South) Third Avenue, Harlow, Essex CM19 5AW, UK
Venue:
Operations Research Letters
Year:
2005

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Abstract

An asymptotic analysis of stochastic block replacement policies for a multicomponent system with fast Markov switches is provided. It is proved that this system can be approximated by a simpler system with exponential failures and averaged failure rates. The optimality of the long-run cost function is studied, as well.